Which of the following is a like radical to 3x square root 5?

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x$

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1. y = 3x = 3(1) = 3

For x = 2 y=3x = 3(2) = 6

For x = 3 y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate

8 0

2 years ago

Which ordered pair is a solution of linear equations?

Bingel [31]

Answer:

$\{\frac{2}{3}, \frac{1}{5}\}$

ordered pair is the Solution to the given System.

Step-by-step explanation:

Given:

$\frac{1}{2}x- \frac{3}{4}y= \frac{11}{60} ...........Equation( 1 )\\ \\\frac{2}{5}x+ \frac{1}{6}y= \frac{3}{10} ...........Equation( 2 )\\$

To Check:

Which ordered pair is the Solution to the given System. ?

Solution:

If $\{\frac{2}{3}, \frac{1}{5}\}$

is the Solution then it must satisfy the given equation. i.e .Left Hand Side (L.H.S) must be Equal to Right Hand Side (R.H.S) of both the given equation for

$\{x=\frac{2}{3}, y=\frac{1}{5}\}$

∴ For Equation ( 1 )

$L.H.S=\frac{1}{2}\times \frac{2}{3}- \frac{3}{4}\times \frac{1}{5}\\\\\\=\frac{1}{3} -\frac{3}{20} \\\\=\frac{20-9}{20\times 3}\\\\ =\frac{11}{60} \\= R.H.S$

∴ Left Hand Side = Right Hand Side

Hence,

$\{x=\frac{2}{3}, y=\frac{1}{5}\}$

The solution.

∴ For Equation ( 2 )

$L.H.S=\frac{2}{5}\times \frac{2}{3}+ \frac{1}{6}\times \frac{1}{5}\\\\\\=\frac{4}{15} -\frac{1}{30} \\\\=\frac{120+15}{15\times 30}\\\\= \frac{135}{450}\\ \\\\=\frac{3}{30}\\ \\= R.H.S$

∴ Left Hand Side = Right Hand Side

Hence ,

$\{x=\frac{2}{3}, y=\frac{1}{5}\}$

The solution.

For other Solutions we do not have Left Hand Side equal to Right Hand Side.

i.e Left Hand Side ≠ Right Hand Side

Hence Not a Solution.

5 0

2 years ago

If the value of a is -6 in f(x)=ax2, what does the graph look like?

AlexFokin [52]

You can put f(x) = -12x into a graphing calculator like desmos and it'll show you the graph :)

4 0

2 years ago